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Finding the Fourth Proportional to 347,198, 479,136.12 and 188,222

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Solution

The fourth proportional to 347,198, 479,136.12 and 188,222 is: 259,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,198 : 479,136.12 = 188,222 : x
  2. Step 2: Convert to fraction form
    347,198/479,136.12 = 188,222/x
  3. Step 3: Cross multiply
    347,198x = 479,136.12 × 188,222
  4. Step 4: Simplify right side
    347,198x = 90,183,958,778.64
  5. Step 5: Solve for x
    x = 90,183,958,778.64/347,198
  6. Step 6: Final answer
    x = 259,747.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.